Find the radius of the circle in which a central angle of 60° intercepts an arc of length 37.4 cm (use π = 22/7)?

K

kvishal9956

New member
To find the radius of the circle, we can use the formula relating the central angle, arc length, and radius of a circle:

Arc length = 2πr (θ/360)
Where:
Arc length is given as 37.4 cm, θ is the central angle in degrees (60°), and r is the radius we want to find.

Let's substitute the given values into the formula and solve for the radius:

37.4 cm = (2 * (22/7) * r * (60/360)
37.4 = (44/7) * r * (1/6)
r = 35.7 cm
 
You must log in or register to reply here.
Top